Solve linear equations and inequalities in one variable, including literal linear equations.
Solve a compound inequality
Problem
Solve the compound inequality \(3~<~x~+~2~\le~8\).
Big Picture
What this problem is really about
A chained inequality requires both comparisons to hold at the same time, so its solution is an overlap between two bounds. We’ll perform the same inverse operation on all three parts of the chain and preserve each comparison’s strictness. Finally, the original symbols determine which endpoint is excluded and which is included.
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